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Finding the Fourth Proportional to 129,672.80, 178,775.16 and 97,269.68

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Solution

The fourth proportional to 129,672.80, 178,775.16 and 97,269.68 is: 134,102.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,672.80 : 178,775.16 = 97,269.68 : x
  2. Step 2: Convert to fraction form
    129,672.80/178,775.16 = 97,269.68/x
  3. Step 3: Cross multiply
    129,672.80x = 178,775.16 × 97,269.68
  4. Step 4: Simplify right side
    129,672.80x = 17,389,402,605.15
  5. Step 5: Solve for x
    x = 17,389,402,605.15/129,672.80
  6. Step 6: Final answer
    x = 134,102.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.